10000442410305 has 64 divisors (see below), whose sum is σ = 16273329069312. Its totient is φ = 5243191050240.

The previous prime is 10000442410261. The next prime is 10000442410337. The reversal of 10000442410305 is 50301424400001.

It is not a de Polignac number, because 10000442410305 - 2⁶ = 10000442410241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1105872114 + ... + 1105881156.

It is an arithmetic number, because the mean of its divisors is an integer number (254270766708).

Almost surely, 2^{10000442410305} is an apocalyptic number.

10000442410305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10000442410305 is a deficient number, since it is larger than the sum of its proper divisors (6272886659007).

10000442410305 is a wasteful number, since it uses less digits than its factorization.

10000442410305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10000442410305 its reverse (50301424400001), we get a palindrome (60301866810306).

The spelling of 10000442410305 in words is "ten trillion, four hundred forty-two million, four hundred ten thousand, three hundred five".